# Shortest distance

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• June 10th 2009, 09:29 PM
Link88
Shortest distance
Find the shortest distance from the point(2,-2,3) to the plane 6x+4y-3z = 2.
• June 10th 2009, 10:32 PM
alexmahone
Refer Point-Plane Distance -- from Wolfram MathWorld

$D={\frac{|6(2)+4(-2)-3(3)-2|}{\sqrt{6^2+4^2+3^2}}}$
$D=\frac{7}{\sqrt{61}}$
• June 10th 2009, 10:37 PM
mr fantastic
Quote:

Originally Posted by Link88
Find the shortest distance from the point(2,-2,3) to the plane 6x+4y-3z = 2.

Read this: Point-Plane Distance -- from Wolfram MathWorld